The average value of a function f(x, y, z) over a solid S is defined by 1 V (S) Z Z Z S f(x, y, z)dV, where V (S) is the volume of the solid S. Calculate the average value of f(x, y, z) = z 3 p x 2 + y 2 + z 2 over the solid S, where S is the solid hemisphere that lies above the xy−plane and has center the origin with radius a > 0. You may use, without proof, that the volume of a sphere with radius a is 4πa3 3 .

whole numbers.

step-by-step explanation:

we are given the average monthly rainfall (in millimeters) model r(m) for the years 1900-2009 as a function of the month number m.

as we can see m is taken for the number of months for years 1900-2009.

we know that number of months can't be a negative number or decimal number or a fraction.

so, the number of months could be only positive whole numbers.

therefore, whole numbers is more appropriate for the domain of r.

where is the diagram? shown below where? ?

step-by-step explanation:

step-by-step explanation:

well if you round, things become much more simple. round 5.95 to 6, 4.25 to 4, and 1.05 to 1. now, add 6+4+1 and that would equal 11. so the items together would equal to about $11.